Because they though there was a treasure inside the bag.
Odysseus' crew wants to 'mutiny' after he receives the winds from Aeolus. The crew doesn't know what's inside the bag the God gave Odysseus and, presuming it is gold or some such treasure, open the bag. Instead of safely making it home to Ithica, the winds (now released) blow them to the Island of Circe, where some of the crew is turned into pigs.
Presuming you are talking about the gift the god of the winds gave Odysseus then they didn't exactly misuse it. The winds that would drive them away from their destination were tied up in a bag. So Odysseus told no one to open it. However he didn't tell his crew why so they grew curious thinking there may be gold or jewels in it so they opened it and setting the winds free got lost all over again.
Aeolus wasn't necessarily a "god" per se. He was the king of winds. He gave Odysseus and crew a bag and told them not to open it. Curiosity struck, and when the crew were within sight of their homeland, they opened it (against Odysseus' orders) and blew the men back out to sea.
King Aeolus gifts Odysseus a bag containing the winds to help him on his journey home to Ithaca. This bag is meant to ensure favorable winds for Odysseus and his crew. However, his men, curious about the contents, open the bag, releasing the winds and causing them to be blown off course. This incident delays their return home significantly.
Eurylochus is a trouble-making individual in Odysseus' crew on his return home.His exploits include:Convincing the crew to open the bag of winds, thinking that there is treasure inside it.Avoiding Circe's spell through his suspicion, and successfully warning Odysseus and the rest of the crew.Convincing the crew to kill the cattle of Helios for meat, and sacrifice some of them to appease the gods.
Aeolus, the Greek god of the wind, helped Odysseus to return home to Ithaca by putting the north, south and easterly winds in a bag, leaving only a westward wind to blow Odysseus and his men home. He did all this purely to annoy his brother, Poseidon, Greek god of the sea, who was his cousin. Aeolus told Odysseus never to open the bag, for the winds will be released. Odysseus had no intention to open the bag, but while he was sleeping, one of his crew did, thinking it was some sort of treasure, while Ithaca was in sight. The winds blew Odysseus far off course and closer to other dangers.
They gave him a bag of winds which he was told not to open.
Aeolus, the Greek god of the wind, helped Odysseus to return home to Ithaca by putting the north, south and easterly winds in a bag, leaving only a westward wind to blow Odysseus and his men home. He did all this purely to annoy his brother, Poseidon, Greek god of the sea, who was his cousin. Aeolus told Odysseus never to open the bag, for the winds will be released. Odysseus had no intention to open the bag, but while he was sleeping, one of his crew did, thinking it was some sort of treasure, while Ithaca was in sight. The winds blew Odysseus far off course and closer to other dangers.
King Aeolus gives Odysseus a bag of winds to help him return to Ithaca. However, Odysseus' crew opens the bag, thinking it contains treasure, and the winds escape, blowing the ships off course and causing a storm that drives them back to Aeolus' island. This betrayal leads Aeolus to believe that Odysseus is cursed and refuses to help him further.
Odysseus is the only survivor of his crew due to a combination of his cunning and the disastrous decisions made by his men. After they encounter the Cyclops Polyphemus, Odysseus cleverly deceives him and escapes, but his crew's curiosity leads them to open the bag of winds given by Aeolus, resulting in their ship being blown off course. Later, they encounter the Sirens and Scylla and Charybdis, where many of his men perish. Ultimately, his crew disregards Odysseus's warnings about the cattle of Helios, leading to their demise, while he alone survives to return home.
In "The Odyssey," Aeolus is the god of the winds who helps Odysseus by providing him with a bag that contains all the winds except for the gentle west wind, which would guide him home to Ithaca. However, while Odysseus and his crew are close to reaching their destination, his men, curious about the bag's contents, open it, releasing the winds and driving them off course. When Odysseus returns to Aeolus for help again, Aeolus refuses, believing that Odysseus is cursed by the gods. This episode highlights themes of trust, temptation, and the capricious nature of divine assistance.
He gave them some hospitality for a month and then provided a west wind to carry them home. The problem was that he gave him a bag of the 4 winds. His crew thought it was treasure and opened it. That blew them back. Aeolus was the keeper of the winds and he bottled up a bag of winds for Odysseus so he could reach Ithaca, his home, faster. Ulysses asked Aeolus to get him and his men home quickly and safely.